Home
Class 12
MATHS
If A and B are square matrices of the sa...

If A and B are square matrices of the same order and `AB = 3I`, then `A^-1 = ` i] 3 B ii] `frac{1}{3}B` iii] `3B^-1` iv] `frac{1}{3}B^-1`

A

`3B`

B

`frac{1}{3}B`

C

`3B^-1`

D

`frac{1}{3}B^-1`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Matrices

    CHETANA PUBLICATION|Exercise EXERCISE|96 Videos

  • Mathematical Logic

    CHETANA PUBLICATION|Exercise EXERCISE|44 Videos

  • PROBABILITY DISTRIBUTIONS

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

If A and B are square matrices of the same order and A is non-singular, then for a positive integer n, (A^(-1)B A)^n is equal to

Select and write the most appropriate answer from the given alternative of the following If A = [[2,3],[5,-2]] , then A^-1= i] A^2 ii] frac{1}{19}A iii] frac{1}{17}A iv] frac{1}{15}A

Select the correct option from the given alternatives. If A = [[2,3],[5,-2]] be such that A^-1 = kA , then k equals to i] 19 ii] frac{1}{19} iii] -19 iv] -frac{1}{19}

Simplify: [ frac{1}{1-2i} + frac{3}{1+i} ] [ frac{3+i}{2-4i} ]

Find a and b if frac{1}{a+ib} =3-2i

Select the correct option from the given alternatives. If A = [[a,c],[d,b]] then A^-1 = i] frac{1}{ab-cd}[[b,-c],[-d,a]] ii] frac{1}{ad-bc}[[b,-c],[-d,a]] iii] frac{1}{ab-cd}[[b,d],[c,a]] iv] None of these

Show that frac{1-2i}{3-4i} + frac{1+2i}{3+4i} is a real

The value of (-i)^frac{1}{3} is

In /_\ABC , a=2 , b=3 and sinA = frac{2}{3} , find B

Prove the following: 2tan^-1(frac{1}{3}) = tan^-1(frac{3}{4})

CHETANA PUBLICATION-Matrices-EXERCISE
  1. Select the correct option from the given alternatives. If A = [[a,c],[...

    Text Solution

    |

  2. Select the correct option from the given alternatives. If A = [[2,3],[...

    Text Solution

    |

  3. If A and B are square matrices of the same order and AB = 3I, then A^-...

    Text Solution

    |

  4. Select the correct option from the given alternatives. If for the mat...

    Text Solution

    |

  5. Select the correct option from the given alternatives:If A = [[i,0],[0...

    Text Solution

    |

  6. Select the correct option from the given alternatives. If A is an inve...

    Text Solution

    |

  7. Select the correct option from theg given alternativesIf A and B are n...

    Text Solution

    |

  8. If A = [[a,b],[c,d]] then adj(adjA) is equal to; i] adjA ii] A ii...

    Text Solution

    |

  9. Select the correct option from the given alternatives. Solutions of eq...

    Text Solution

    |

  10. Select the correct option from the given alternatives. The element in ...

    Text Solution

    |

  11. Select the correct option from the given alternatives.The sum of three...

    Text Solution

    |

  12. Select the correct option from the given alternatives.If A = [[2,3],[4...

    Text Solution

    |

  13. Select the correct option from the given alternatives: If [[1,-tanthet...

    Text Solution

    |

  14. Select the correct option from the given alternatives: If A = [[3,-3,4...

    Text Solution

    |

  15. Select the correct option from the given alternatives [[6,-5,1],[4,2,-...

    Text Solution

    |

  16. Select the correct option from the given alternatives. Let A = [[5,5al...

    Text Solution

    |

  17. Select and write the most appropriate answer from the given alternativ...

    Text Solution

    |

  18. Select and write the most appropriate answer from the given alternativ...

    Text Solution

    |

  19. Select and write the most appropriate answer from the given alternativ...

    Text Solution

    |

  20. Attempt the following: If A= [[1,0,0],[2,1,0],[3,3,1]] then reduce it ...

    Text Solution

    |